已知2x+4y-3=0,求(2的x次方×4的y次方)的4次方的值
问题描述:
已知2x+4y-3=0,求(2的x次方×4的y次方)的4次方的值
答
2^x*4^y=2^x*2^2y=2^(x+2y)
2x+4y-3=0,
x+2y=3/2
[2^(x+2y)]^4=[2^(3/2)]^4
=2^6
=64
答
2x+4y-3=0
2x+4y=3
(2^x×4^y)^4
=(2^2x×4^2y)^2
=(2^2x×2^4y)^2
=[2^(2x+4y)]^2
=(2^3)^2
=8^2=64